Question

Write an equation that passes through the points (-3,0) ,(0,0​

Answer 1

y = 0

Explanation:

This line has a y-intercept of 0: (0, 0). Thus, the equation of this line has the form y = mx + 0, or just y = mx.

As we move from (-3, 0) to (0, 0), x increases by 3 while y stays the same.

Thus, the slope of this line is m = 0/3, or just 0.

A line with a slope of zero is horizontal.

Knowing that this line passes thru (0, 0), we conclude that the equation of the line in question is y = 0 (which is the x-axis).

Answer 2

y = 0

Both points fall on the x-axis making it a horizontal. It has no slope and a y intercept at 0. If you plug those numbers into the standard equation of a line, y = mx + b where m is slope and b is y intercept, you get y = 0x + 0. This simplifies to y = 0.